Least Common Multiple of 13069 and 13073
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 13069 and 13073 the smallest integer that is 170851037 that is divisible by both numbers.
Least Common Multiple (LCM) of 13069 and 13073 is 170851037.
LCM(13069,13073) = 170851037
LCM of 13069 and 13073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 13069 and 13073 by Prime method
- Least Common Multiple of 13069 and 13073 with GCF Formula
LCM of 13069 and 13073 is 170851037
Least common multiple can be found by multiplying the highest exponent prime factors of 13069 and 13073. First we will calculate the prime factors of 13069 and 13073.
Prime Factorization of 13069
| 7 | 13069 |
| 1867 | 1867 |
| 1 |
Prime factors of 13069 are 7,1867. Prime factorization of 13069 in exponential form is:
13069 = 71×18671
Prime Factorization of 13073
| 17 | 13073 |
| 769 | 769 |
| 1 |
Prime factors of 13073 are 17,769. Prime factorization of 13073 in exponential form is:
13073 = 171×7691
Now multiplying the highest exponent prime factors to calculate the LCM of 13069 and 13073.
LCM(13069,13073) = 71×171×7691×18671
LCM(13069,13073) = 170851037
Factors of 13069
List of positive integer factors of 13069 that divides 13069 without a remainder.
1, 7, 1867, 13069
Factors of 13073
List of positive integer factors of 13073 that divides 13073 without a remainder.
1, 17, 769, 13073
Least Common Multiple of 13069 and 13073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13069 and 13073, than apply into the LCM equation.
GCF(13069,13073) = 1
LCM(13069,13073) = ( 13069 × 13073) / 1
LCM(13069,13073) = 170851037 / 1
LCM(13069,13073) = 170851037
Properties of LCM 13069 and 13073
(i) The LCM of 13073 and 13069 is associative
LCM of 13069 and 13073 = LCM of 13073 and 13069
Related Least Common Multiples of 13069
Related Least Common Multiples of 13073
Frequently Asked Questions on LCM of 13069 and 13073
1. What is the LCM of 13069 and 13073?
Answer: LCM of 13069 and 13073 is 170851037.
2. What are the Factors of 13069?
Answer: Factors of 13069 are 1, 7, 1867, 13069. There are 4 integers that are factors of 13069. The greatest factor of 13069 is 13069.
3. What are the Factors of 13073?
Answer: Factors of 13073 are 1, 17, 769, 13073. There are 4 integers that are factors of 13073. The greatest factor of 13073 is 13073.
4. How to Find the LCM of 13069 and 13073?
Answer:
Least Common Multiple of 13069 and 13073 = 170851037
Step 1: Find the prime factorization of 13069
13069 = 7 x 1867
Step 2: Find the prime factorization of 13073
13073 = 17 x 769
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 170851037 = 7 x 17 x 769 x 1867
Step 4: Therefore, the least common multiple of 13069 and 13073 is 170851037.